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Simplifying 3x + -7(1 + 2x) = 5(1 + -2x) 3x + (1 * -7 + 2x * -7) = 5(1 + -2x) 3x + (-7 + -14x) = 5(1 + -2x) Reorder the terms: -7 + 3x + -14x = 5(1 + -2x) Combine like terms: 3x + -14x = -11x -7 + -11x = 5(1 + -2x) -7 + -11x = (1 * 5 + -2x * 5) -7 + -11x = (5 + -10x) Solving -7 + -11x = 5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -7 + -11x + 10x = 5 + -10x + 10x Combine like terms: -11x + 10x = -1x -7 + -1x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + -1x = 5 + 0 -7 + -1x = 5 Add '7' to each side of the equation. -7 + 7 + -1x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 5 + 7 -1x = 5 + 7 Combine like terms: 5 + 7 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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